Compute the following: ` [[cos^2x, sin^2x],[sin^2 x, cos^2 x]]+[[sin^2x, cos^2 x],[cos^2 x, sin^2 x]]`

Compute the following: [[cos^2x, sin^2x],[sin^2x, cos^2x]]+[[sin^2x, cos^2x],[cos^2x, sin^2x]]

Compute the following: : [[cos^2x,sin^2x],[sin^2x,cos^2x]] + [[sin^2x,cos^2x],[cos^2x,sin^2x]]

Solve: [[cos^(2)x, sin^(2)x],[sin^(2)x, cos^(2)x]]+[[sin^(2)x, cos^(2)x],[cos^(2)x, sin^(2)x]]

" if "A=[[cos^(2)x,sin^(2)x],[-sin^(2)x,-cos^(2)x]]" and "B=[[sin^(2)x,cos^(2)x],[-cos^(2)x,-sin^(2)x]]" then find "A+B"

Prove the following: cos^2 2x - cos^2 6x = sin 4x sin 8x

Simplify [{:(cos^(2)x,sin^(2)x),(sin^(2)x,cos^(2)x):}]+[{:(sin^(2)x,cos^(2)x),(cos^(2)x,sin^(2)x):}]

(sin x + cos x)^2 + (sin x - cos x)^2